Asymptotic formula on average path length in a hierarchical scale-free network with fractal structure. (May 2019)

• Record Type: Journal Article
• Authors: Zhang, Qian; Xue, Yumei; Wang, Daohua; Niu, Min
• Is Part Of: Chaos, solitons and fractals. Volume 122(2019)
• Page Start: 196
• Page End: 201
• Publication Date: 2019-05
• Subjects: Fractal -- Hierarchical -- Network -- Average path -- Asymptotic formula; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.03.021
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: In this paper, we study a hierarchical scale-free network with special fractal structure. We study the average path length and associate the average path length with the symbol length. Then using a recursive method, we obtain the asymptotic formula for average path length of our networks.